The Method of Coordinates,9780486425658

The Method of Coordinates

by ; ;
ISBN13: 9780486425658
ISBN10: 0486425657
Format: Paperback
Pub. Date: 2011-10-20
Publisher(s): Dover Publications
  • Free Shipping Icon

    Free Shipping on all Orders Over $35!*

    *excludes Marketplace items.

List Price: $9.55

Buy New

Usually Ships in 2-3 Business Days
$9.50
Add to Cart

Rent Textbook

Select for Price
Add to Cart
There was a problem. Please try again later.

Used Textbook

We're Sorry
Sold Out

eTextbook

We're Sorry
Not Available

Buy from our Marketplace starting at $4.19

This item is being sold by an Individual Seller and will not ship from the Online Bookstore's warehouse. The Seller must confirm the order within two business days. If the Seller refuses to sell or fails to confirm within this time frame, then the order is cancelled.

Please be sure to read the Description offered by the Seller.

Summary

This introductory text explores the translation of geometric concepts into the language of numbers in order to define the position of a point in space (the orbit of a satellite, for example). The two-part treatment begins with discussions of the coordinates of points on a line, coordinates of points in a plane, and the coordinates of points in space. Part 2 examines geometry as an aid to calculation and the necessity and peculiarities of four-dimensional space. Written for systematic study, it features a helpful series of "road signs" in the margins, alerting students to passages requiring particular attention, and an abundance of ingenious problemswith solutions, answers, and hintspromote habits of independent work. 1967 edition.

Table of Contents

Foreword v
Introduction 1(4)
PART 1
The Coordinates of Points on a Line
5(7)
The Number Axis
5(3)
The Absolute Value of a Number
8(1)
The Distance Between Two Points
9(3)
The Coordinates of Points in the Plane
12(20)
The Coordinate Plane
12(3)
Relations Connecting Coordinates
15(2)
The Distance Between Two Points
17(3)
Defining Figures
20(3)
We Begin to Solve Problems
23(4)
Other Systems of Coordinates
27(5)
The Coordinates of a Point in Space
32(9)
Coordinate Axes and Planes
32(4)
Defining Figures in Space
36(5)
PART 2
Introduction
41(9)
Some General Considerations
41(1)
Geometry as an Aid in Calculation
42(3)
The Need for Introducing Four-Dimensional Space
45(2)
The Peculiarities of Four-Dimensional Space
47(1)
Some Physics
48(2)
Four-Dimensional Space
50(8)
Coordinate Axes and Planes
51(5)
Some Problems
56(2)
The Four-Dimensional Cube
58(9)
The Definition of the Sphere and the Cube
58(2)
The Structure of the Four-Dimensional Cube
60(7)
Problems on the Cube
67

An electronic version of this book is available through VitalSource.

This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.

By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.

A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.

Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.

Please view the compatibility matrix prior to purchase.